1081628352 has 252 divisors, whose sum is σ = 3798158520. Its totient is φ = 292626432.

The previous prime is 1081628309. The next prime is 1081628381. The reversal of 1081628352 is 2538261801.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (252).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 535248 + ... + 537264.

Almost surely, 2^1081628352 is an apocalyptic number.

1081628352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1081628352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1899079260).

1081628352 is an abundant number, since it is smaller than the sum of its proper divisors (2716530168).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1081628352 is a wasteful number, since it uses less digits than its factorization.

1081628352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2068 (or 2048 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 1081628352 is about 32888.1187056967. The cubic root of 1081628352 is about 1026.5009466217.

The spelling of 1081628352 in words is "one billion, eighty-one million, six hundred twenty-eight thousand, three hundred fifty-two".